Answer:
X = 1 , -2
Step-by-step explanation:
Given in question as,
(log4(x² + x))² = 0.25
log4(x² + x) = 0.5
Applying log base property if log(a)X = b, then X =a^b
Or, x² + x = 4^0.5
x² + x = 2
x² + x - 2 = 0
x²+2x-x-2 = 0
(x + 2) (x - 1) = 0
So, x = 1 and -2 Answer
Answer (the system of equations input doesn't work, so there is no brace):
x = 1.5y
x + y =800
Step-by-step explanation:
First, identify the vital information:
- 800 total students
- 1.5 times as many boys as girls
So, if x = number of boys and y = number of girls, we can agree that:
x = 1.5y
And because there are 800 kids in total, we can agree that:
x + y = 800
There are 320 girls and 480 boys. (see below)
Since you have the value of x, 1.5y, you can plug-in the value:
x + y = 800
1.5 + y = 800
2.5y = 800
y = 320 girls
Plug-in the y-value into the equation for the number of boys:
x = 1.5y
x = 1.5(320)
x = 480 boys
To double-check:
320 + 480 = 800 ☺
Answer:
2
x
+
3
y
Step-by-step explanation:
The one on the bottom left.